I don't call my G&L Tribute LB-100 a "Precision bass" or a "P bass". That's because it's a G&L Tribute LB-100. It is definitely reminiscent of a Precision bass, until you notice the 21st fret (which admittedly some Precisions have, but most don't), the bridge, the headstock, the slightly slimmed down horns, the shortened lower horn, the deeper lower cutaway, the pickguard shape, the fact it's not a Fender...
As far as I'm concerned a Precision bass is whatever Fender say it is.